{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Importing PulP solver\n",
    "from pulp import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Inputing the Demand points\n",
    "demand_points=['Port of Haifa','Port of King Abdul Aziz','Port of Jebel Ali']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['Port of Haifa', 'Port of King Abdul Aziz', 'Port of Jebel Ali']"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "demand_points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Inputing the Supply Points\n",
    "supply_points=['Port of Buenos Aires','Port of Antwerp','Port of Santos','Port of Montreal','Port of Vancouver','Port of Shanghai','Buenaventura','Port of Alexandria','Port of Marseille','Port of Hamburg_Germany','Port of Jawaharlal Nehru','Port of Gioia Tauro','Port of Nagoya','Port of Busan','Port of Shuwaikh','Penang Port','Port of Manzanillo','Port of Rotterdam','Port of Lagos','Port of Salalah','Port of Gdansk','Port of Doha','Port of King Abdul Aziz','Port of Jeddah','Port of Singapore','Port of Durban','Port of Algeciras','Port of Bangkok','Port of Jebel Ali','Port of Immingham','Port of New York','Port of Los Angeles','Port of Saigon']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['Port of Buenos Aires',\n",
       " 'Port of Antwerp',\n",
       " 'Port of Santos',\n",
       " 'Port of Montreal',\n",
       " 'Port of Vancouver',\n",
       " 'Port of Shanghai',\n",
       " 'Buenaventura',\n",
       " 'Port of Alexandria',\n",
       " 'Port of Marseille',\n",
       " 'Port of Hamburg_Germany',\n",
       " 'Port of Jawaharlal Nehru',\n",
       " 'Port of Gioia Tauro',\n",
       " 'Port of Nagoya',\n",
       " 'Port of Busan',\n",
       " 'Port of Shuwaikh',\n",
       " 'Penang Port',\n",
       " 'Port of Manzanillo',\n",
       " 'Port of Rotterdam',\n",
       " 'Port of Lagos',\n",
       " 'Port of Salalah',\n",
       " 'Port of Gdansk',\n",
       " 'Port of Doha',\n",
       " 'Port of King Abdul Aziz',\n",
       " 'Port of Jeddah',\n",
       " 'Port of Singapore',\n",
       " 'Port of Durban',\n",
       " 'Port of Algeciras',\n",
       " 'Port of Bangkok',\n",
       " 'Port of Jebel Ali',\n",
       " 'Port of Immingham',\n",
       " 'Port of New York',\n",
       " 'Port of Los Angeles',\n",
       " 'Port of Saigon']"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "supply_points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Inputing the distances\n",
    "distance = dict(zip(supply_points,[dict(zip(demand_points, [8747,9476,9168])),\n",
    "dict(zip(demand_points, [3804,7247,6938])),\n",
    "dict(zip(demand_points, [7667,9716,9407])),\n",
    "dict(zip(demand_points, [6336,9778,9470])),\n",
    "dict(zip(demand_points, [12461,10668,10440])),\n",
    "dict(zip(demand_points, [8336,6922,6627])),\n",
    "dict(zip(demand_points, [8173,11615,11307])),\n",
    "dict(zip(demand_points, [370,3704,3396])),\n",
    "dict(zip(demand_points, [1946,5388,5080])),\n",
    "dict(zip(demand_points, [4173,7615,7306])),\n",
    "dict(zip(demand_points, [3510,1630,1335])),\n",
    "dict(zip(demand_points, [1230,4674,4366])),\n",
    "dict(zip(demand_points, [9214,7800,7505])),\n",
    "dict(zip(demand_points, [8852,7438,7143])),\n",
    "dict(zip(demand_points, [3847,203,562])),\n",
    "dict(zip(demand_points, [5310,3896,3601])),\n",
    "dict(zip(demand_points, [9673,13099,12790])),\n",
    "dict(zip(demand_points, [3894,7338,7029])),\n",
    "dict(zip(demand_points, [5662,8624,8316])),\n",
    "dict(zip(demand_points, [2367,1307,999])),\n",
    "dict(zip(demand_points, [4889,8334,8025])),\n",
    "dict(zip(demand_points, [3553,219,187])),\n",
    "dict(zip(demand_points, [3674,0,389])),\n",
    "dict(zip(demand_points, [995,2680,2371])),\n",
    "dict(zip(demand_points, [5680,4266,3971])),\n",
    "dict(zip(demand_points, [5318,4878,4572])),\n",
    "dict(zip(demand_points, [2242,5685,5377])),\n",
    "dict(zip(demand_points, [6556,5142,4847])),\n",
    "dict(zip(demand_points, [3366,389,0])),\n",
    "dict(zip(demand_points, [3944,7388,7080])),\n",
    "dict(zip(demand_points, [5756,9222,8918])),\n",
    "dict(zip(demand_points, [11048,11344,11116])),\n",
    "dict(zip(demand_points, [6418,5004,4709]))]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'Port of Buenos Aires': {'Port of Haifa': 8747,\n",
       "  'Port of King Abdul Aziz': 9476,\n",
       "  'Port of Jebel Ali': 9168},\n",
       " 'Port of Antwerp': {'Port of Haifa': 3804,\n",
       "  'Port of King Abdul Aziz': 7247,\n",
       "  'Port of Jebel Ali': 6938},\n",
       " 'Port of Santos': {'Port of Haifa': 7667,\n",
       "  'Port of King Abdul Aziz': 9716,\n",
       "  'Port of Jebel Ali': 9407},\n",
       " 'Port of Montreal': {'Port of Haifa': 6336,\n",
       "  'Port of King Abdul Aziz': 9778,\n",
       "  'Port of Jebel Ali': 9470},\n",
       " 'Port of Vancouver': {'Port of Haifa': 12461,\n",
       "  'Port of King Abdul Aziz': 10668,\n",
       "  'Port of Jebel Ali': 10440},\n",
       " 'Port of Shanghai': {'Port of Haifa': 8336,\n",
       "  'Port of King Abdul Aziz': 6922,\n",
       "  'Port of Jebel Ali': 6627},\n",
       " 'Buenaventura': {'Port of Haifa': 8173,\n",
       "  'Port of King Abdul Aziz': 11615,\n",
       "  'Port of Jebel Ali': 11307},\n",
       " 'Port of Alexandria': {'Port of Haifa': 370,\n",
       "  'Port of King Abdul Aziz': 3704,\n",
       "  'Port of Jebel Ali': 3396},\n",
       " 'Port of Marseille': {'Port of Haifa': 1946,\n",
       "  'Port of King Abdul Aziz': 5388,\n",
       "  'Port of Jebel Ali': 5080},\n",
       " 'Port of Hamburg_Germany': {'Port of Haifa': 4173,\n",
       "  'Port of King Abdul Aziz': 7615,\n",
       "  'Port of Jebel Ali': 7306},\n",
       " 'Port of Jawaharlal Nehru': {'Port of Haifa': 3510,\n",
       "  'Port of King Abdul Aziz': 1630,\n",
       "  'Port of Jebel Ali': 1335},\n",
       " 'Port of Gioia Tauro': {'Port of Haifa': 1230,\n",
       "  'Port of King Abdul Aziz': 4674,\n",
       "  'Port of Jebel Ali': 4366},\n",
       " 'Port of Nagoya': {'Port of Haifa': 9214,\n",
       "  'Port of King Abdul Aziz': 7800,\n",
       "  'Port of Jebel Ali': 7505},\n",
       " 'Port of Busan': {'Port of Haifa': 8852,\n",
       "  'Port of King Abdul Aziz': 7438,\n",
       "  'Port of Jebel Ali': 7143},\n",
       " 'Port of Shuwaikh': {'Port of Haifa': 3847,\n",
       "  'Port of King Abdul Aziz': 203,\n",
       "  'Port of Jebel Ali': 562},\n",
       " 'Penang Port': {'Port of Haifa': 5310,\n",
       "  'Port of King Abdul Aziz': 3896,\n",
       "  'Port of Jebel Ali': 3601},\n",
       " 'Port of Manzanillo': {'Port of Haifa': 9673,\n",
       "  'Port of King Abdul Aziz': 13099,\n",
       "  'Port of Jebel Ali': 12790},\n",
       " 'Port of Rotterdam': {'Port of Haifa': 3894,\n",
       "  'Port of King Abdul Aziz': 7338,\n",
       "  'Port of Jebel Ali': 7029},\n",
       " 'Port of Lagos': {'Port of Haifa': 5662,\n",
       "  'Port of King Abdul Aziz': 8624,\n",
       "  'Port of Jebel Ali': 8316},\n",
       " 'Port of Salalah': {'Port of Haifa': 2367,\n",
       "  'Port of King Abdul Aziz': 1307,\n",
       "  'Port of Jebel Ali': 999},\n",
       " 'Port of Gdansk': {'Port of Haifa': 4889,\n",
       "  'Port of King Abdul Aziz': 8334,\n",
       "  'Port of Jebel Ali': 8025},\n",
       " 'Port of Doha': {'Port of Haifa': 3553,\n",
       "  'Port of King Abdul Aziz': 219,\n",
       "  'Port of Jebel Ali': 187},\n",
       " 'Port of King Abdul Aziz': {'Port of Haifa': 3674,\n",
       "  'Port of King Abdul Aziz': 0,\n",
       "  'Port of Jebel Ali': 389},\n",
       " 'Port of Jeddah': {'Port of Haifa': 995,\n",
       "  'Port of King Abdul Aziz': 2680,\n",
       "  'Port of Jebel Ali': 2371},\n",
       " 'Port of Singapore': {'Port of Haifa': 5680,\n",
       "  'Port of King Abdul Aziz': 4266,\n",
       "  'Port of Jebel Ali': 3971},\n",
       " 'Port of Durban': {'Port of Haifa': 5318,\n",
       "  'Port of King Abdul Aziz': 4878,\n",
       "  'Port of Jebel Ali': 4572},\n",
       " 'Port of Algeciras': {'Port of Haifa': 2242,\n",
       "  'Port of King Abdul Aziz': 5685,\n",
       "  'Port of Jebel Ali': 5377},\n",
       " 'Port of Bangkok': {'Port of Haifa': 6556,\n",
       "  'Port of King Abdul Aziz': 5142,\n",
       "  'Port of Jebel Ali': 4847},\n",
       " 'Port of Jebel Ali': {'Port of Haifa': 3366,\n",
       "  'Port of King Abdul Aziz': 389,\n",
       "  'Port of Jebel Ali': 0},\n",
       " 'Port of Immingham': {'Port of Haifa': 3944,\n",
       "  'Port of King Abdul Aziz': 7388,\n",
       "  'Port of Jebel Ali': 7080},\n",
       " 'Port of New York': {'Port of Haifa': 5756,\n",
       "  'Port of King Abdul Aziz': 9222,\n",
       "  'Port of Jebel Ali': 8918},\n",
       " 'Port of Los Angeles': {'Port of Haifa': 11048,\n",
       "  'Port of King Abdul Aziz': 11344,\n",
       "  'Port of Jebel Ali': 11116},\n",
       " 'Port of Saigon': {'Port of Haifa': 6418,\n",
       "  'Port of King Abdul Aziz': 5004,\n",
       "  'Port of Jebel Ali': 4709}}"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "distance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Inputing the Plastic Demand\n",
    "plastic_demand=dict(zip(demand_points, [158334914.1,182564981.9,173334966.6]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'Port of Haifa': 158334914.1,\n",
       " 'Port of King Abdul Aziz': 182564981.9,\n",
       " 'Port of Jebel Ali': 173334966.6}"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plastic_demand"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Inputing the Plastic Supply\n",
    "plastic_supply=dict(zip(supply_points, [3484953.6435,3021067.5020,7945692.0017,1637839.3004,7771532.4984,234997919.6606,2509165.8953,731840.0219,6474235.9733,16669297.2185,10078880.5696,9565903.5174,13163659.9622,44795024.7538,887965.8933,12318631.8073,6272914.5326,2745849.6660,243946.6740,665974.4200,4350000.5481,1775931.7866,9520988.2609,5352440.4517,20157761.1392,1219733.3699,5144723.8347,19037885.5204,3995846.5198,5051019.5284,27723150.5426,19323708.4517,5599378.0942])) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'Port of Buenos Aires': 3484953.6435,\n",
       " 'Port of Antwerp': 3021067.502,\n",
       " 'Port of Santos': 7945692.0017,\n",
       " 'Port of Montreal': 1637839.3004,\n",
       " 'Port of Vancouver': 7771532.4984,\n",
       " 'Port of Shanghai': 234997919.6606,\n",
       " 'Buenaventura': 2509165.8953,\n",
       " 'Port of Alexandria': 731840.0219,\n",
       " 'Port of Marseille': 6474235.9733,\n",
       " 'Port of Hamburg_Germany': 16669297.2185,\n",
       " 'Port of Jawaharlal Nehru': 10078880.5696,\n",
       " 'Port of Gioia Tauro': 9565903.5174,\n",
       " 'Port of Nagoya': 13163659.9622,\n",
       " 'Port of Busan': 44795024.7538,\n",
       " 'Port of Shuwaikh': 887965.8933,\n",
       " 'Penang Port': 12318631.8073,\n",
       " 'Port of Manzanillo': 6272914.5326,\n",
       " 'Port of Rotterdam': 2745849.666,\n",
       " 'Port of Lagos': 243946.674,\n",
       " 'Port of Salalah': 665974.42,\n",
       " 'Port of Gdansk': 4350000.5481,\n",
       " 'Port of Doha': 1775931.7866,\n",
       " 'Port of King Abdul Aziz': 9520988.2609,\n",
       " 'Port of Jeddah': 5352440.4517,\n",
       " 'Port of Singapore': 20157761.1392,\n",
       " 'Port of Durban': 1219733.3699,\n",
       " 'Port of Algeciras': 5144723.8347,\n",
       " 'Port of Bangkok': 19037885.5204,\n",
       " 'Port of Jebel Ali': 3995846.5198,\n",
       " 'Port of Immingham': 5051019.5284,\n",
       " 'Port of New York': 27723150.5426,\n",
       " 'Port of Los Angeles': 19323708.4517,\n",
       " 'Port of Saigon': 5599378.0942}"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plastic_supply"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set Problem Variables\n",
    "prob = LpProblem(\"Transportation\", LpMinimize)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Transportation:\n",
       "MINIMIZE\n",
       "None\n",
       "VARIABLES"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prob"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set Problem Variables\n",
    "routes = [(i,j) for i in supply_points for j in demand_points]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('Port of Buenos Aires', 'Port of Haifa'),\n",
       " ('Port of Buenos Aires', 'Port of King Abdul Aziz'),\n",
       " ('Port of Buenos Aires', 'Port of Jebel Ali'),\n",
       " ('Port of Antwerp', 'Port of Haifa'),\n",
       " ('Port of Antwerp', 'Port of King Abdul Aziz'),\n",
       " ('Port of Antwerp', 'Port of Jebel Ali'),\n",
       " ('Port of Santos', 'Port of Haifa'),\n",
       " ('Port of Santos', 'Port of King Abdul Aziz'),\n",
       " ('Port of Santos', 'Port of Jebel Ali'),\n",
       " ('Port of Montreal', 'Port of Haifa'),\n",
       " ('Port of Montreal', 'Port of King Abdul Aziz'),\n",
       " ('Port of Montreal', 'Port of Jebel Ali'),\n",
       " ('Port of Vancouver', 'Port of Haifa'),\n",
       " ('Port of Vancouver', 'Port of King Abdul Aziz'),\n",
       " ('Port of Vancouver', 'Port of Jebel Ali'),\n",
       " ('Port of Shanghai', 'Port of Haifa'),\n",
       " ('Port of Shanghai', 'Port of King Abdul Aziz'),\n",
       " ('Port of Shanghai', 'Port of Jebel Ali'),\n",
       " ('Buenaventura', 'Port of Haifa'),\n",
       " ('Buenaventura', 'Port of King Abdul Aziz'),\n",
       " ('Buenaventura', 'Port of Jebel Ali'),\n",
       " ('Port of Alexandria', 'Port of Haifa'),\n",
       " ('Port of Alexandria', 'Port of King Abdul Aziz'),\n",
       " ('Port of Alexandria', 'Port of Jebel Ali'),\n",
       " ('Port of Marseille', 'Port of Haifa'),\n",
       " ('Port of Marseille', 'Port of King Abdul Aziz'),\n",
       " ('Port of Marseille', 'Port of Jebel Ali'),\n",
       " ('Port of Hamburg_Germany', 'Port of Haifa'),\n",
       " ('Port of Hamburg_Germany', 'Port of King Abdul Aziz'),\n",
       " ('Port of Hamburg_Germany', 'Port of Jebel Ali'),\n",
       " ('Port of Jawaharlal Nehru', 'Port of Haifa'),\n",
       " ('Port of Jawaharlal Nehru', 'Port of King Abdul Aziz'),\n",
       " ('Port of Jawaharlal Nehru', 'Port of Jebel Ali'),\n",
       " ('Port of Gioia Tauro', 'Port of Haifa'),\n",
       " ('Port of Gioia Tauro', 'Port of King Abdul Aziz'),\n",
       " ('Port of Gioia Tauro', 'Port of Jebel Ali'),\n",
       " ('Port of Nagoya', 'Port of Haifa'),\n",
       " ('Port of Nagoya', 'Port of King Abdul Aziz'),\n",
       " ('Port of Nagoya', 'Port of Jebel Ali'),\n",
       " ('Port of Busan', 'Port of Haifa'),\n",
       " ('Port of Busan', 'Port of King Abdul Aziz'),\n",
       " ('Port of Busan', 'Port of Jebel Ali'),\n",
       " ('Port of Shuwaikh', 'Port of Haifa'),\n",
       " ('Port of Shuwaikh', 'Port of King Abdul Aziz'),\n",
       " ('Port of Shuwaikh', 'Port of Jebel Ali'),\n",
       " ('Penang Port', 'Port of Haifa'),\n",
       " ('Penang Port', 'Port of King Abdul Aziz'),\n",
       " ('Penang Port', 'Port of Jebel Ali'),\n",
       " ('Port of Manzanillo', 'Port of Haifa'),\n",
       " ('Port of Manzanillo', 'Port of King Abdul Aziz'),\n",
       " ('Port of Manzanillo', 'Port of Jebel Ali'),\n",
       " ('Port of Rotterdam', 'Port of Haifa'),\n",
       " ('Port of Rotterdam', 'Port of King Abdul Aziz'),\n",
       " ('Port of Rotterdam', 'Port of Jebel Ali'),\n",
       " ('Port of Lagos', 'Port of Haifa'),\n",
       " ('Port of Lagos', 'Port of King Abdul Aziz'),\n",
       " ('Port of Lagos', 'Port of Jebel Ali'),\n",
       " ('Port of Salalah', 'Port of Haifa'),\n",
       " ('Port of Salalah', 'Port of King Abdul Aziz'),\n",
       " ('Port of Salalah', 'Port of Jebel Ali'),\n",
       " ('Port of Gdansk', 'Port of Haifa'),\n",
       " ('Port of Gdansk', 'Port of King Abdul Aziz'),\n",
       " ('Port of Gdansk', 'Port of Jebel Ali'),\n",
       " ('Port of Doha', 'Port of Haifa'),\n",
       " ('Port of Doha', 'Port of King Abdul Aziz'),\n",
       " ('Port of Doha', 'Port of Jebel Ali'),\n",
       " ('Port of King Abdul Aziz', 'Port of Haifa'),\n",
       " ('Port of King Abdul Aziz', 'Port of King Abdul Aziz'),\n",
       " ('Port of King Abdul Aziz', 'Port of Jebel Ali'),\n",
       " ('Port of Jeddah', 'Port of Haifa'),\n",
       " ('Port of Jeddah', 'Port of King Abdul Aziz'),\n",
       " ('Port of Jeddah', 'Port of Jebel Ali'),\n",
       " ('Port of Singapore', 'Port of Haifa'),\n",
       " ('Port of Singapore', 'Port of King Abdul Aziz'),\n",
       " ('Port of Singapore', 'Port of Jebel Ali'),\n",
       " ('Port of Durban', 'Port of Haifa'),\n",
       " ('Port of Durban', 'Port of King Abdul Aziz'),\n",
       " ('Port of Durban', 'Port of Jebel Ali'),\n",
       " ('Port of Algeciras', 'Port of Haifa'),\n",
       " ('Port of Algeciras', 'Port of King Abdul Aziz'),\n",
       " ('Port of Algeciras', 'Port of Jebel Ali'),\n",
       " ('Port of Bangkok', 'Port of Haifa'),\n",
       " ('Port of Bangkok', 'Port of King Abdul Aziz'),\n",
       " ('Port of Bangkok', 'Port of Jebel Ali'),\n",
       " ('Port of Jebel Ali', 'Port of Haifa'),\n",
       " ('Port of Jebel Ali', 'Port of King Abdul Aziz'),\n",
       " ('Port of Jebel Ali', 'Port of Jebel Ali'),\n",
       " ('Port of Immingham', 'Port of Haifa'),\n",
       " ('Port of Immingham', 'Port of King Abdul Aziz'),\n",
       " ('Port of Immingham', 'Port of Jebel Ali'),\n",
       " ('Port of New York', 'Port of Haifa'),\n",
       " ('Port of New York', 'Port of King Abdul Aziz'),\n",
       " ('Port of New York', 'Port of Jebel Ali'),\n",
       " ('Port of Los Angeles', 'Port of Haifa'),\n",
       " ('Port of Los Angeles', 'Port of King Abdul Aziz'),\n",
       " ('Port of Los Angeles', 'Port of Jebel Ali'),\n",
       " ('Port of Saigon', 'Port of Haifa'),\n",
       " ('Port of Saigon', 'Port of King Abdul Aziz'),\n",
       " ('Port of Saigon', 'Port of Jebel Ali')]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "routes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Decision Variables\n",
    "X = LpVariable.dicts(\"ShipmentAmount\",(supply_points, demand_points),0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'Port of Buenos Aires': {'Port of Haifa': ShipmentAmount_Port_of_Buenos_Aires_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Buenos_Aires_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Buenos_Aires_Port_of_Jebel_Ali},\n",
       " 'Port of Antwerp': {'Port of Haifa': ShipmentAmount_Port_of_Antwerp_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Antwerp_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Antwerp_Port_of_Jebel_Ali},\n",
       " 'Port of Santos': {'Port of Haifa': ShipmentAmount_Port_of_Santos_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Santos_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Santos_Port_of_Jebel_Ali},\n",
       " 'Port of Montreal': {'Port of Haifa': ShipmentAmount_Port_of_Montreal_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Montreal_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Montreal_Port_of_Jebel_Ali},\n",
       " 'Port of Vancouver': {'Port of Haifa': ShipmentAmount_Port_of_Vancouver_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Vancouver_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Vancouver_Port_of_Jebel_Ali},\n",
       " 'Port of Shanghai': {'Port of Haifa': ShipmentAmount_Port_of_Shanghai_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Shanghai_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Shanghai_Port_of_Jebel_Ali},\n",
       " 'Buenaventura': {'Port of Haifa': ShipmentAmount_Buenaventura_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Buenaventura_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Buenaventura_Port_of_Jebel_Ali},\n",
       " 'Port of Alexandria': {'Port of Haifa': ShipmentAmount_Port_of_Alexandria_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Alexandria_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Alexandria_Port_of_Jebel_Ali},\n",
       " 'Port of Marseille': {'Port of Haifa': ShipmentAmount_Port_of_Marseille_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Marseille_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Marseille_Port_of_Jebel_Ali},\n",
       " 'Port of Hamburg_Germany': {'Port of Haifa': ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Hamburg_Germany_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Jebel_Ali},\n",
       " 'Port of Jawaharlal Nehru': {'Port of Haifa': ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Jebel_Ali},\n",
       " 'Port of Gioia Tauro': {'Port of Haifa': ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Gioia_Tauro_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Jebel_Ali},\n",
       " 'Port of Nagoya': {'Port of Haifa': ShipmentAmount_Port_of_Nagoya_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Nagoya_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Nagoya_Port_of_Jebel_Ali},\n",
       " 'Port of Busan': {'Port of Haifa': ShipmentAmount_Port_of_Busan_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Busan_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Busan_Port_of_Jebel_Ali},\n",
       " 'Port of Shuwaikh': {'Port of Haifa': ShipmentAmount_Port_of_Shuwaikh_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Shuwaikh_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Shuwaikh_Port_of_Jebel_Ali},\n",
       " 'Penang Port': {'Port of Haifa': ShipmentAmount_Penang_Port_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Penang_Port_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Penang_Port_Port_of_Jebel_Ali},\n",
       " 'Port of Manzanillo': {'Port of Haifa': ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Manzanillo_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Manzanillo_Port_of_Jebel_Ali},\n",
       " 'Port of Rotterdam': {'Port of Haifa': ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Rotterdam_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Rotterdam_Port_of_Jebel_Ali},\n",
       " 'Port of Lagos': {'Port of Haifa': ShipmentAmount_Port_of_Lagos_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Lagos_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Lagos_Port_of_Jebel_Ali},\n",
       " 'Port of Salalah': {'Port of Haifa': ShipmentAmount_Port_of_Salalah_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Salalah_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Salalah_Port_of_Jebel_Ali},\n",
       " 'Port of Gdansk': {'Port of Haifa': ShipmentAmount_Port_of_Gdansk_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Gdansk_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Gdansk_Port_of_Jebel_Ali},\n",
       " 'Port of Doha': {'Port of Haifa': ShipmentAmount_Port_of_Doha_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Doha_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Doha_Port_of_Jebel_Ali},\n",
       " 'Port of King Abdul Aziz': {'Port of Haifa': ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Jebel_Ali},\n",
       " 'Port of Jeddah': {'Port of Haifa': ShipmentAmount_Port_of_Jeddah_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Jeddah_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Jeddah_Port_of_Jebel_Ali},\n",
       " 'Port of Singapore': {'Port of Haifa': ShipmentAmount_Port_of_Singapore_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Singapore_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Singapore_Port_of_Jebel_Ali},\n",
       " 'Port of Durban': {'Port of Haifa': ShipmentAmount_Port_of_Durban_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Durban_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Durban_Port_of_Jebel_Ali},\n",
       " 'Port of Algeciras': {'Port of Haifa': ShipmentAmount_Port_of_Algeciras_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Algeciras_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Algeciras_Port_of_Jebel_Ali},\n",
       " 'Port of Bangkok': {'Port of Haifa': ShipmentAmount_Port_of_Bangkok_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Bangkok_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Bangkok_Port_of_Jebel_Ali},\n",
       " 'Port of Jebel Ali': {'Port of Haifa': ShipmentAmount_Port_of_Jebel_Ali_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Jebel_Ali_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Jebel_Ali_Port_of_Jebel_Ali},\n",
       " 'Port of Immingham': {'Port of Haifa': ShipmentAmount_Port_of_Immingham_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Immingham_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Immingham_Port_of_Jebel_Ali},\n",
       " 'Port of New York': {'Port of Haifa': ShipmentAmount_Port_of_New_York_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_New_York_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_New_York_Port_of_Jebel_Ali},\n",
       " 'Port of Los Angeles': {'Port of Haifa': ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Los_Angeles_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Los_Angeles_Port_of_Jebel_Ali},\n",
       " 'Port of Saigon': {'Port of Haifa': ShipmentAmount_Port_of_Saigon_Port_of_Haifa,\n",
       "  'Port of King Abdul Aziz': ShipmentAmount_Port_of_Saigon_Port_of_King_Abdul_Aziz,\n",
       "  'Port of Jebel Ali': ShipmentAmount_Port_of_Saigon_Port_of_Jebel_Ali}}"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Objective Function\n",
    "prob += sum(X[i][j]*distance[i][j] for (i,j) in routes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Transportation:\n",
       "MINIMIZE\n",
       "8173*ShipmentAmount_Buenaventura_Port_of_Haifa + 11307*ShipmentAmount_Buenaventura_Port_of_Jebel_Ali + 11615*ShipmentAmount_Buenaventura_Port_of_King_Abdul_Aziz + 5310*ShipmentAmount_Penang_Port_Port_of_Haifa + 3601*ShipmentAmount_Penang_Port_Port_of_Jebel_Ali + 3896*ShipmentAmount_Penang_Port_Port_of_King_Abdul_Aziz + 370*ShipmentAmount_Port_of_Alexandria_Port_of_Haifa + 3396*ShipmentAmount_Port_of_Alexandria_Port_of_Jebel_Ali + 3704*ShipmentAmount_Port_of_Alexandria_Port_of_King_Abdul_Aziz + 2242*ShipmentAmount_Port_of_Algeciras_Port_of_Haifa + 5377*ShipmentAmount_Port_of_Algeciras_Port_of_Jebel_Ali + 5685*ShipmentAmount_Port_of_Algeciras_Port_of_King_Abdul_Aziz + 3804*ShipmentAmount_Port_of_Antwerp_Port_of_Haifa + 6938*ShipmentAmount_Port_of_Antwerp_Port_of_Jebel_Ali + 7247*ShipmentAmount_Port_of_Antwerp_Port_of_King_Abdul_Aziz + 6556*ShipmentAmount_Port_of_Bangkok_Port_of_Haifa + 4847*ShipmentAmount_Port_of_Bangkok_Port_of_Jebel_Ali + 5142*ShipmentAmount_Port_of_Bangkok_Port_of_King_Abdul_Aziz + 8747*ShipmentAmount_Port_of_Buenos_Aires_Port_of_Haifa + 9168*ShipmentAmount_Port_of_Buenos_Aires_Port_of_Jebel_Ali + 9476*ShipmentAmount_Port_of_Buenos_Aires_Port_of_King_Abdul_Aziz + 8852*ShipmentAmount_Port_of_Busan_Port_of_Haifa + 7143*ShipmentAmount_Port_of_Busan_Port_of_Jebel_Ali + 7438*ShipmentAmount_Port_of_Busan_Port_of_King_Abdul_Aziz + 3553*ShipmentAmount_Port_of_Doha_Port_of_Haifa + 187*ShipmentAmount_Port_of_Doha_Port_of_Jebel_Ali + 219*ShipmentAmount_Port_of_Doha_Port_of_King_Abdul_Aziz + 5318*ShipmentAmount_Port_of_Durban_Port_of_Haifa + 4572*ShipmentAmount_Port_of_Durban_Port_of_Jebel_Ali + 4878*ShipmentAmount_Port_of_Durban_Port_of_King_Abdul_Aziz + 4889*ShipmentAmount_Port_of_Gdansk_Port_of_Haifa + 8025*ShipmentAmount_Port_of_Gdansk_Port_of_Jebel_Ali + 8334*ShipmentAmount_Port_of_Gdansk_Port_of_King_Abdul_Aziz + 1230*ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa + 4366*ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Jebel_Ali + 4674*ShipmentAmount_Port_of_Gioia_Tauro_Port_of_King_Abdul_Aziz + 4173*ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa + 7306*ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Jebel_Ali + 7615*ShipmentAmount_Port_of_Hamburg_Germany_Port_of_King_Abdul_Aziz + 3944*ShipmentAmount_Port_of_Immingham_Port_of_Haifa + 7080*ShipmentAmount_Port_of_Immingham_Port_of_Jebel_Ali + 7388*ShipmentAmount_Port_of_Immingham_Port_of_King_Abdul_Aziz + 3510*ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa + 1335*ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Jebel_Ali + 1630*ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_King_Abdul_Aziz + 3366*ShipmentAmount_Port_of_Jebel_Ali_Port_of_Haifa + 389*ShipmentAmount_Port_of_Jebel_Ali_Port_of_King_Abdul_Aziz + 995*ShipmentAmount_Port_of_Jeddah_Port_of_Haifa + 2371*ShipmentAmount_Port_of_Jeddah_Port_of_Jebel_Ali + 2680*ShipmentAmount_Port_of_Jeddah_Port_of_King_Abdul_Aziz + 3674*ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Haifa + 389*ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Jebel_Ali + 5662*ShipmentAmount_Port_of_Lagos_Port_of_Haifa + 8316*ShipmentAmount_Port_of_Lagos_Port_of_Jebel_Ali + 8624*ShipmentAmount_Port_of_Lagos_Port_of_King_Abdul_Aziz + 11048*ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa + 11116*ShipmentAmount_Port_of_Los_Angeles_Port_of_Jebel_Ali + 11344*ShipmentAmount_Port_of_Los_Angeles_Port_of_King_Abdul_Aziz + 9673*ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa + 12790*ShipmentAmount_Port_of_Manzanillo_Port_of_Jebel_Ali + 13099*ShipmentAmount_Port_of_Manzanillo_Port_of_King_Abdul_Aziz + 1946*ShipmentAmount_Port_of_Marseille_Port_of_Haifa + 5080*ShipmentAmount_Port_of_Marseille_Port_of_Jebel_Ali + 5388*ShipmentAmount_Port_of_Marseille_Port_of_King_Abdul_Aziz + 6336*ShipmentAmount_Port_of_Montreal_Port_of_Haifa + 9470*ShipmentAmount_Port_of_Montreal_Port_of_Jebel_Ali + 9778*ShipmentAmount_Port_of_Montreal_Port_of_King_Abdul_Aziz + 9214*ShipmentAmount_Port_of_Nagoya_Port_of_Haifa + 7505*ShipmentAmount_Port_of_Nagoya_Port_of_Jebel_Ali + 7800*ShipmentAmount_Port_of_Nagoya_Port_of_King_Abdul_Aziz + 5756*ShipmentAmount_Port_of_New_York_Port_of_Haifa + 8918*ShipmentAmount_Port_of_New_York_Port_of_Jebel_Ali + 9222*ShipmentAmount_Port_of_New_York_Port_of_King_Abdul_Aziz + 3894*ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa + 7029*ShipmentAmount_Port_of_Rotterdam_Port_of_Jebel_Ali + 7338*ShipmentAmount_Port_of_Rotterdam_Port_of_King_Abdul_Aziz + 6418*ShipmentAmount_Port_of_Saigon_Port_of_Haifa + 4709*ShipmentAmount_Port_of_Saigon_Port_of_Jebel_Ali + 5004*ShipmentAmount_Port_of_Saigon_Port_of_King_Abdul_Aziz + 2367*ShipmentAmount_Port_of_Salalah_Port_of_Haifa + 999*ShipmentAmount_Port_of_Salalah_Port_of_Jebel_Ali + 1307*ShipmentAmount_Port_of_Salalah_Port_of_King_Abdul_Aziz + 7667*ShipmentAmount_Port_of_Santos_Port_of_Haifa + 9407*ShipmentAmount_Port_of_Santos_Port_of_Jebel_Ali + 9716*ShipmentAmount_Port_of_Santos_Port_of_King_Abdul_Aziz + 8336*ShipmentAmount_Port_of_Shanghai_Port_of_Haifa + 6627*ShipmentAmount_Port_of_Shanghai_Port_of_Jebel_Ali + 6922*ShipmentAmount_Port_of_Shanghai_Port_of_King_Abdul_Aziz + 3847*ShipmentAmount_Port_of_Shuwaikh_Port_of_Haifa + 562*ShipmentAmount_Port_of_Shuwaikh_Port_of_Jebel_Ali + 203*ShipmentAmount_Port_of_Shuwaikh_Port_of_King_Abdul_Aziz + 5680*ShipmentAmount_Port_of_Singapore_Port_of_Haifa + 3971*ShipmentAmount_Port_of_Singapore_Port_of_Jebel_Ali + 4266*ShipmentAmount_Port_of_Singapore_Port_of_King_Abdul_Aziz + 12461*ShipmentAmount_Port_of_Vancouver_Port_of_Haifa + 10440*ShipmentAmount_Port_of_Vancouver_Port_of_Jebel_Ali + 10668*ShipmentAmount_Port_of_Vancouver_Port_of_King_Abdul_Aziz + 0\n",
       "VARIABLES\n",
       "ShipmentAmount_Buenaventura_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Buenaventura_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Buenaventura_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Penang_Port_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Penang_Port_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Penang_Port_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Alexandria_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Alexandria_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Alexandria_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Algeciras_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Algeciras_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Algeciras_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Antwerp_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Antwerp_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Antwerp_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Bangkok_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Bangkok_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Bangkok_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Buenos_Aires_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Buenos_Aires_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Buenos_Aires_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Busan_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Busan_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Busan_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Doha_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Doha_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Doha_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Durban_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Durban_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Durban_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Gdansk_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Gdansk_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Gdansk_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Gioia_Tauro_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Germany_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Immingham_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Immingham_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Immingham_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Jebel_Ali_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Jebel_Ali_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Jeddah_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Jeddah_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Jeddah_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Lagos_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Lagos_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Lagos_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Los_Angeles_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Los_Angeles_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Manzanillo_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Manzanillo_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Marseille_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Marseille_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Marseille_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Montreal_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Montreal_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Montreal_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Nagoya_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Nagoya_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Nagoya_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_New_York_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_New_York_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_New_York_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Rotterdam_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Rotterdam_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Saigon_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Saigon_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Saigon_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Salalah_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Salalah_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Salalah_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Santos_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Santos_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Santos_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Shanghai_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Shanghai_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Shanghai_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Shuwaikh_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Shuwaikh_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Shuwaikh_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Singapore_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Singapore_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Singapore_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Vancouver_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Vancouver_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Vancouver_Port_of_King_Abdul_Aziz Continuous"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prob"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Transportation:\n",
       "MINIMIZE\n",
       "8173*ShipmentAmount_Buenaventura_Port_of_Haifa + 11307*ShipmentAmount_Buenaventura_Port_of_Jebel_Ali + 11615*ShipmentAmount_Buenaventura_Port_of_King_Abdul_Aziz + 5310*ShipmentAmount_Penang_Port_Port_of_Haifa + 3601*ShipmentAmount_Penang_Port_Port_of_Jebel_Ali + 3896*ShipmentAmount_Penang_Port_Port_of_King_Abdul_Aziz + 370*ShipmentAmount_Port_of_Alexandria_Port_of_Haifa + 3396*ShipmentAmount_Port_of_Alexandria_Port_of_Jebel_Ali + 3704*ShipmentAmount_Port_of_Alexandria_Port_of_King_Abdul_Aziz + 2242*ShipmentAmount_Port_of_Algeciras_Port_of_Haifa + 5377*ShipmentAmount_Port_of_Algeciras_Port_of_Jebel_Ali + 5685*ShipmentAmount_Port_of_Algeciras_Port_of_King_Abdul_Aziz + 3804*ShipmentAmount_Port_of_Antwerp_Port_of_Haifa + 6938*ShipmentAmount_Port_of_Antwerp_Port_of_Jebel_Ali + 7247*ShipmentAmount_Port_of_Antwerp_Port_of_King_Abdul_Aziz + 6556*ShipmentAmount_Port_of_Bangkok_Port_of_Haifa + 4847*ShipmentAmount_Port_of_Bangkok_Port_of_Jebel_Ali + 5142*ShipmentAmount_Port_of_Bangkok_Port_of_King_Abdul_Aziz + 8747*ShipmentAmount_Port_of_Buenos_Aires_Port_of_Haifa + 9168*ShipmentAmount_Port_of_Buenos_Aires_Port_of_Jebel_Ali + 9476*ShipmentAmount_Port_of_Buenos_Aires_Port_of_King_Abdul_Aziz + 8852*ShipmentAmount_Port_of_Busan_Port_of_Haifa + 7143*ShipmentAmount_Port_of_Busan_Port_of_Jebel_Ali + 7438*ShipmentAmount_Port_of_Busan_Port_of_King_Abdul_Aziz + 3553*ShipmentAmount_Port_of_Doha_Port_of_Haifa + 187*ShipmentAmount_Port_of_Doha_Port_of_Jebel_Ali + 219*ShipmentAmount_Port_of_Doha_Port_of_King_Abdul_Aziz + 5318*ShipmentAmount_Port_of_Durban_Port_of_Haifa + 4572*ShipmentAmount_Port_of_Durban_Port_of_Jebel_Ali + 4878*ShipmentAmount_Port_of_Durban_Port_of_King_Abdul_Aziz + 4889*ShipmentAmount_Port_of_Gdansk_Port_of_Haifa + 8025*ShipmentAmount_Port_of_Gdansk_Port_of_Jebel_Ali + 8334*ShipmentAmount_Port_of_Gdansk_Port_of_King_Abdul_Aziz + 1230*ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa + 4366*ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Jebel_Ali + 4674*ShipmentAmount_Port_of_Gioia_Tauro_Port_of_King_Abdul_Aziz + 4173*ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa + 7306*ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Jebel_Ali + 7615*ShipmentAmount_Port_of_Hamburg_Germany_Port_of_King_Abdul_Aziz + 3944*ShipmentAmount_Port_of_Immingham_Port_of_Haifa + 7080*ShipmentAmount_Port_of_Immingham_Port_of_Jebel_Ali + 7388*ShipmentAmount_Port_of_Immingham_Port_of_King_Abdul_Aziz + 3510*ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa + 1335*ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Jebel_Ali + 1630*ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_King_Abdul_Aziz + 3366*ShipmentAmount_Port_of_Jebel_Ali_Port_of_Haifa + 389*ShipmentAmount_Port_of_Jebel_Ali_Port_of_King_Abdul_Aziz + 995*ShipmentAmount_Port_of_Jeddah_Port_of_Haifa + 2371*ShipmentAmount_Port_of_Jeddah_Port_of_Jebel_Ali + 2680*ShipmentAmount_Port_of_Jeddah_Port_of_King_Abdul_Aziz + 3674*ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Haifa + 389*ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Jebel_Ali + 5662*ShipmentAmount_Port_of_Lagos_Port_of_Haifa + 8316*ShipmentAmount_Port_of_Lagos_Port_of_Jebel_Ali + 8624*ShipmentAmount_Port_of_Lagos_Port_of_King_Abdul_Aziz + 11048*ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa + 11116*ShipmentAmount_Port_of_Los_Angeles_Port_of_Jebel_Ali + 11344*ShipmentAmount_Port_of_Los_Angeles_Port_of_King_Abdul_Aziz + 9673*ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa + 12790*ShipmentAmount_Port_of_Manzanillo_Port_of_Jebel_Ali + 13099*ShipmentAmount_Port_of_Manzanillo_Port_of_King_Abdul_Aziz + 1946*ShipmentAmount_Port_of_Marseille_Port_of_Haifa + 5080*ShipmentAmount_Port_of_Marseille_Port_of_Jebel_Ali + 5388*ShipmentAmount_Port_of_Marseille_Port_of_King_Abdul_Aziz + 6336*ShipmentAmount_Port_of_Montreal_Port_of_Haifa + 9470*ShipmentAmount_Port_of_Montreal_Port_of_Jebel_Ali + 9778*ShipmentAmount_Port_of_Montreal_Port_of_King_Abdul_Aziz + 9214*ShipmentAmount_Port_of_Nagoya_Port_of_Haifa + 7505*ShipmentAmount_Port_of_Nagoya_Port_of_Jebel_Ali + 7800*ShipmentAmount_Port_of_Nagoya_Port_of_King_Abdul_Aziz + 5756*ShipmentAmount_Port_of_New_York_Port_of_Haifa + 8918*ShipmentAmount_Port_of_New_York_Port_of_Jebel_Ali + 9222*ShipmentAmount_Port_of_New_York_Port_of_King_Abdul_Aziz + 3894*ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa + 7029*ShipmentAmount_Port_of_Rotterdam_Port_of_Jebel_Ali + 7338*ShipmentAmount_Port_of_Rotterdam_Port_of_King_Abdul_Aziz + 6418*ShipmentAmount_Port_of_Saigon_Port_of_Haifa + 4709*ShipmentAmount_Port_of_Saigon_Port_of_Jebel_Ali + 5004*ShipmentAmount_Port_of_Saigon_Port_of_King_Abdul_Aziz + 2367*ShipmentAmount_Port_of_Salalah_Port_of_Haifa + 999*ShipmentAmount_Port_of_Salalah_Port_of_Jebel_Ali + 1307*ShipmentAmount_Port_of_Salalah_Port_of_King_Abdul_Aziz + 7667*ShipmentAmount_Port_of_Santos_Port_of_Haifa + 9407*ShipmentAmount_Port_of_Santos_Port_of_Jebel_Ali + 9716*ShipmentAmount_Port_of_Santos_Port_of_King_Abdul_Aziz + 8336*ShipmentAmount_Port_of_Shanghai_Port_of_Haifa + 6627*ShipmentAmount_Port_of_Shanghai_Port_of_Jebel_Ali + 6922*ShipmentAmount_Port_of_Shanghai_Port_of_King_Abdul_Aziz + 3847*ShipmentAmount_Port_of_Shuwaikh_Port_of_Haifa + 562*ShipmentAmount_Port_of_Shuwaikh_Port_of_Jebel_Ali + 203*ShipmentAmount_Port_of_Shuwaikh_Port_of_King_Abdul_Aziz + 5680*ShipmentAmount_Port_of_Singapore_Port_of_Haifa + 3971*ShipmentAmount_Port_of_Singapore_Port_of_Jebel_Ali + 4266*ShipmentAmount_Port_of_Singapore_Port_of_King_Abdul_Aziz + 12461*ShipmentAmount_Port_of_Vancouver_Port_of_Haifa + 10440*ShipmentAmount_Port_of_Vancouver_Port_of_Jebel_Ali + 10668*ShipmentAmount_Port_of_Vancouver_Port_of_King_Abdul_Aziz + 0\n",
       "SUBJECT TO\n",
       "_C1: ShipmentAmount_Buenaventura_Port_of_Haifa\n",
       " + ShipmentAmount_Penang_Port_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Alexandria_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Algeciras_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Antwerp_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Bangkok_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Buenos_Aires_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Busan_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Doha_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Durban_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Gdansk_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Immingham_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Jebel_Ali_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Jeddah_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Lagos_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Marseille_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Montreal_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Nagoya_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_New_York_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Saigon_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Salalah_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Santos_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Shanghai_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Shuwaikh_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Singapore_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Vancouver_Port_of_Haifa >= 158334914.1\n",
       "\n",
       "_C2: ShipmentAmount_Buenaventura_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Penang_Port_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Alexandria_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Algeciras_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Antwerp_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Bangkok_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Buenos_Aires_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Busan_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Doha_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Durban_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Gdansk_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Gioia_Tauro_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Hamburg_Germany_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Immingham_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Jebel_Ali_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Jeddah_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Lagos_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Los_Angeles_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Manzanillo_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Marseille_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Montreal_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Nagoya_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_New_York_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Rotterdam_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Saigon_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Salalah_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Santos_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Shanghai_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Shuwaikh_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Singapore_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Vancouver_Port_of_King_Abdul_Aziz >= 182564981.9\n",
       "\n",
       "_C3: ShipmentAmount_Buenaventura_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Penang_Port_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Alexandria_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Algeciras_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Antwerp_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Bangkok_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Buenos_Aires_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Busan_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Doha_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Durban_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Gdansk_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Immingham_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Jebel_Ali_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Jeddah_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Lagos_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Los_Angeles_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Manzanillo_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Marseille_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Montreal_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Nagoya_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_New_York_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Rotterdam_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Saigon_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Salalah_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Santos_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Shanghai_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Shuwaikh_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Singapore_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Vancouver_Port_of_Jebel_Ali >= 173334966.6\n",
       "\n",
       "VARIABLES\n",
       "ShipmentAmount_Buenaventura_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Buenaventura_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Buenaventura_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Penang_Port_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Penang_Port_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Penang_Port_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Alexandria_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Alexandria_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Alexandria_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Algeciras_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Algeciras_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Algeciras_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Antwerp_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Antwerp_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Antwerp_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Bangkok_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Bangkok_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Bangkok_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Buenos_Aires_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Buenos_Aires_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Buenos_Aires_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Busan_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Busan_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Busan_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Doha_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Doha_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Doha_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Durban_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Durban_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Durban_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Gdansk_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Gdansk_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Gdansk_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Gioia_Tauro_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Germany_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Immingham_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Immingham_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Immingham_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Jebel_Ali_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Jebel_Ali_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Jebel_Ali_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Jeddah_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Jeddah_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Jeddah_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Lagos_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Lagos_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Lagos_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Los_Angeles_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Los_Angeles_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Manzanillo_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Manzanillo_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Marseille_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Marseille_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Marseille_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Montreal_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Montreal_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Montreal_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Nagoya_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Nagoya_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Nagoya_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_New_York_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_New_York_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_New_York_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Rotterdam_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Rotterdam_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Saigon_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Saigon_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Saigon_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Salalah_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Salalah_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Salalah_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Santos_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Santos_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Santos_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Shanghai_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Shanghai_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Shanghai_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Shuwaikh_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Shuwaikh_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Shuwaikh_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Singapore_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Singapore_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Singapore_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Vancouver_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Vancouver_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Vancouver_Port_of_King_Abdul_Aziz Continuous"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Constraints\n",
    "for j in demand_points:\n",
    "    prob += sum(X[i][j] for i in supply_points) >= plastic_demand[j]\n",
    "    \n",
    "prob"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Transportation:\n",
       "MINIMIZE\n",
       "8173*ShipmentAmount_Buenaventura_Port_of_Haifa + 11307*ShipmentAmount_Buenaventura_Port_of_Jebel_Ali + 11615*ShipmentAmount_Buenaventura_Port_of_King_Abdul_Aziz + 5310*ShipmentAmount_Penang_Port_Port_of_Haifa + 3601*ShipmentAmount_Penang_Port_Port_of_Jebel_Ali + 3896*ShipmentAmount_Penang_Port_Port_of_King_Abdul_Aziz + 370*ShipmentAmount_Port_of_Alexandria_Port_of_Haifa + 3396*ShipmentAmount_Port_of_Alexandria_Port_of_Jebel_Ali + 3704*ShipmentAmount_Port_of_Alexandria_Port_of_King_Abdul_Aziz + 2242*ShipmentAmount_Port_of_Algeciras_Port_of_Haifa + 5377*ShipmentAmount_Port_of_Algeciras_Port_of_Jebel_Ali + 5685*ShipmentAmount_Port_of_Algeciras_Port_of_King_Abdul_Aziz + 3804*ShipmentAmount_Port_of_Antwerp_Port_of_Haifa + 6938*ShipmentAmount_Port_of_Antwerp_Port_of_Jebel_Ali + 7247*ShipmentAmount_Port_of_Antwerp_Port_of_King_Abdul_Aziz + 6556*ShipmentAmount_Port_of_Bangkok_Port_of_Haifa + 4847*ShipmentAmount_Port_of_Bangkok_Port_of_Jebel_Ali + 5142*ShipmentAmount_Port_of_Bangkok_Port_of_King_Abdul_Aziz + 8747*ShipmentAmount_Port_of_Buenos_Aires_Port_of_Haifa + 9168*ShipmentAmount_Port_of_Buenos_Aires_Port_of_Jebel_Ali + 9476*ShipmentAmount_Port_of_Buenos_Aires_Port_of_King_Abdul_Aziz + 8852*ShipmentAmount_Port_of_Busan_Port_of_Haifa + 7143*ShipmentAmount_Port_of_Busan_Port_of_Jebel_Ali + 7438*ShipmentAmount_Port_of_Busan_Port_of_King_Abdul_Aziz + 3553*ShipmentAmount_Port_of_Doha_Port_of_Haifa + 187*ShipmentAmount_Port_of_Doha_Port_of_Jebel_Ali + 219*ShipmentAmount_Port_of_Doha_Port_of_King_Abdul_Aziz + 5318*ShipmentAmount_Port_of_Durban_Port_of_Haifa + 4572*ShipmentAmount_Port_of_Durban_Port_of_Jebel_Ali + 4878*ShipmentAmount_Port_of_Durban_Port_of_King_Abdul_Aziz + 4889*ShipmentAmount_Port_of_Gdansk_Port_of_Haifa + 8025*ShipmentAmount_Port_of_Gdansk_Port_of_Jebel_Ali + 8334*ShipmentAmount_Port_of_Gdansk_Port_of_King_Abdul_Aziz + 1230*ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa + 4366*ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Jebel_Ali + 4674*ShipmentAmount_Port_of_Gioia_Tauro_Port_of_King_Abdul_Aziz + 4173*ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa + 7306*ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Jebel_Ali + 7615*ShipmentAmount_Port_of_Hamburg_Germany_Port_of_King_Abdul_Aziz + 3944*ShipmentAmount_Port_of_Immingham_Port_of_Haifa + 7080*ShipmentAmount_Port_of_Immingham_Port_of_Jebel_Ali + 7388*ShipmentAmount_Port_of_Immingham_Port_of_King_Abdul_Aziz + 3510*ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa + 1335*ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Jebel_Ali + 1630*ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_King_Abdul_Aziz + 3366*ShipmentAmount_Port_of_Jebel_Ali_Port_of_Haifa + 389*ShipmentAmount_Port_of_Jebel_Ali_Port_of_King_Abdul_Aziz + 995*ShipmentAmount_Port_of_Jeddah_Port_of_Haifa + 2371*ShipmentAmount_Port_of_Jeddah_Port_of_Jebel_Ali + 2680*ShipmentAmount_Port_of_Jeddah_Port_of_King_Abdul_Aziz + 3674*ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Haifa + 389*ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Jebel_Ali + 5662*ShipmentAmount_Port_of_Lagos_Port_of_Haifa + 8316*ShipmentAmount_Port_of_Lagos_Port_of_Jebel_Ali + 8624*ShipmentAmount_Port_of_Lagos_Port_of_King_Abdul_Aziz + 11048*ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa + 11116*ShipmentAmount_Port_of_Los_Angeles_Port_of_Jebel_Ali + 11344*ShipmentAmount_Port_of_Los_Angeles_Port_of_King_Abdul_Aziz + 9673*ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa + 12790*ShipmentAmount_Port_of_Manzanillo_Port_of_Jebel_Ali + 13099*ShipmentAmount_Port_of_Manzanillo_Port_of_King_Abdul_Aziz + 1946*ShipmentAmount_Port_of_Marseille_Port_of_Haifa + 5080*ShipmentAmount_Port_of_Marseille_Port_of_Jebel_Ali + 5388*ShipmentAmount_Port_of_Marseille_Port_of_King_Abdul_Aziz + 6336*ShipmentAmount_Port_of_Montreal_Port_of_Haifa + 9470*ShipmentAmount_Port_of_Montreal_Port_of_Jebel_Ali + 9778*ShipmentAmount_Port_of_Montreal_Port_of_King_Abdul_Aziz + 9214*ShipmentAmount_Port_of_Nagoya_Port_of_Haifa + 7505*ShipmentAmount_Port_of_Nagoya_Port_of_Jebel_Ali + 7800*ShipmentAmount_Port_of_Nagoya_Port_of_King_Abdul_Aziz + 5756*ShipmentAmount_Port_of_New_York_Port_of_Haifa + 8918*ShipmentAmount_Port_of_New_York_Port_of_Jebel_Ali + 9222*ShipmentAmount_Port_of_New_York_Port_of_King_Abdul_Aziz + 3894*ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa + 7029*ShipmentAmount_Port_of_Rotterdam_Port_of_Jebel_Ali + 7338*ShipmentAmount_Port_of_Rotterdam_Port_of_King_Abdul_Aziz + 6418*ShipmentAmount_Port_of_Saigon_Port_of_Haifa + 4709*ShipmentAmount_Port_of_Saigon_Port_of_Jebel_Ali + 5004*ShipmentAmount_Port_of_Saigon_Port_of_King_Abdul_Aziz + 2367*ShipmentAmount_Port_of_Salalah_Port_of_Haifa + 999*ShipmentAmount_Port_of_Salalah_Port_of_Jebel_Ali + 1307*ShipmentAmount_Port_of_Salalah_Port_of_King_Abdul_Aziz + 7667*ShipmentAmount_Port_of_Santos_Port_of_Haifa + 9407*ShipmentAmount_Port_of_Santos_Port_of_Jebel_Ali + 9716*ShipmentAmount_Port_of_Santos_Port_of_King_Abdul_Aziz + 8336*ShipmentAmount_Port_of_Shanghai_Port_of_Haifa + 6627*ShipmentAmount_Port_of_Shanghai_Port_of_Jebel_Ali + 6922*ShipmentAmount_Port_of_Shanghai_Port_of_King_Abdul_Aziz + 3847*ShipmentAmount_Port_of_Shuwaikh_Port_of_Haifa + 562*ShipmentAmount_Port_of_Shuwaikh_Port_of_Jebel_Ali + 203*ShipmentAmount_Port_of_Shuwaikh_Port_of_King_Abdul_Aziz + 5680*ShipmentAmount_Port_of_Singapore_Port_of_Haifa + 3971*ShipmentAmount_Port_of_Singapore_Port_of_Jebel_Ali + 4266*ShipmentAmount_Port_of_Singapore_Port_of_King_Abdul_Aziz + 12461*ShipmentAmount_Port_of_Vancouver_Port_of_Haifa + 10440*ShipmentAmount_Port_of_Vancouver_Port_of_Jebel_Ali + 10668*ShipmentAmount_Port_of_Vancouver_Port_of_King_Abdul_Aziz + 0\n",
       "SUBJECT TO\n",
       "_C1: ShipmentAmount_Buenaventura_Port_of_Haifa\n",
       " + ShipmentAmount_Penang_Port_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Alexandria_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Algeciras_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Antwerp_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Bangkok_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Buenos_Aires_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Busan_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Doha_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Durban_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Gdansk_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Immingham_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Jebel_Ali_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Jeddah_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Lagos_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Marseille_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Montreal_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Nagoya_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_New_York_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Saigon_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Salalah_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Santos_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Shanghai_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Shuwaikh_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Singapore_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Vancouver_Port_of_Haifa >= 158334914.1\n",
       "\n",
       "_C2: ShipmentAmount_Buenaventura_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Penang_Port_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Alexandria_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Algeciras_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Antwerp_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Bangkok_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Buenos_Aires_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Busan_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Doha_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Durban_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Gdansk_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Gioia_Tauro_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Hamburg_Germany_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Immingham_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Jebel_Ali_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Jeddah_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Lagos_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Los_Angeles_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Manzanillo_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Marseille_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Montreal_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Nagoya_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_New_York_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Rotterdam_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Saigon_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Salalah_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Santos_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Shanghai_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Shuwaikh_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Singapore_Port_of_King_Abdul_Aziz\n",
       " + ShipmentAmount_Port_of_Vancouver_Port_of_King_Abdul_Aziz >= 182564981.9\n",
       "\n",
       "_C3: ShipmentAmount_Buenaventura_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Penang_Port_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Alexandria_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Algeciras_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Antwerp_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Bangkok_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Buenos_Aires_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Busan_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Doha_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Durban_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Gdansk_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Immingham_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Jebel_Ali_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Jeddah_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Lagos_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Los_Angeles_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Manzanillo_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Marseille_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Montreal_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Nagoya_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_New_York_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Rotterdam_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Saigon_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Salalah_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Santos_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Shanghai_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Shuwaikh_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Singapore_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Vancouver_Port_of_Jebel_Ali >= 173334966.6\n",
       "\n",
       "_C4: ShipmentAmount_Port_of_Buenos_Aires_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Buenos_Aires_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Buenos_Aires_Port_of_King_Abdul_Aziz = 3484953.6435\n",
       "\n",
       "_C5: ShipmentAmount_Port_of_Antwerp_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Antwerp_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Antwerp_Port_of_King_Abdul_Aziz = 3021067.502\n",
       "\n",
       "_C6: ShipmentAmount_Port_of_Santos_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Santos_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Santos_Port_of_King_Abdul_Aziz = 7945692.0017\n",
       "\n",
       "_C7: ShipmentAmount_Port_of_Montreal_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Montreal_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Montreal_Port_of_King_Abdul_Aziz = 1637839.3004\n",
       "\n",
       "_C8: ShipmentAmount_Port_of_Vancouver_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Vancouver_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Vancouver_Port_of_King_Abdul_Aziz = 7771532.4984\n",
       "\n",
       "_C9: ShipmentAmount_Port_of_Shanghai_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Shanghai_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Shanghai_Port_of_King_Abdul_Aziz = 234997919.661\n",
       "\n",
       "_C10: ShipmentAmount_Buenaventura_Port_of_Haifa\n",
       " + ShipmentAmount_Buenaventura_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Buenaventura_Port_of_King_Abdul_Aziz = 2509165.8953\n",
       "\n",
       "_C11: ShipmentAmount_Port_of_Alexandria_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Alexandria_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Alexandria_Port_of_King_Abdul_Aziz = 731840.0219\n",
       "\n",
       "_C12: ShipmentAmount_Port_of_Marseille_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Marseille_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Marseille_Port_of_King_Abdul_Aziz = 6474235.9733\n",
       "\n",
       "_C13: ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Hamburg_Germany_Port_of_King_Abdul_Aziz\n",
       " = 16669297.2185\n",
       "\n",
       "_C14: ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_King_Abdul_Aziz\n",
       " = 10078880.5696\n",
       "\n",
       "_C15: ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Gioia_Tauro_Port_of_King_Abdul_Aziz = 9565903.5174\n",
       "\n",
       "_C16: ShipmentAmount_Port_of_Nagoya_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Nagoya_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Nagoya_Port_of_King_Abdul_Aziz = 13163659.9622\n",
       "\n",
       "_C17: ShipmentAmount_Port_of_Busan_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Busan_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Busan_Port_of_King_Abdul_Aziz = 44795024.7538\n",
       "\n",
       "_C18: ShipmentAmount_Port_of_Shuwaikh_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Shuwaikh_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Shuwaikh_Port_of_King_Abdul_Aziz = 887965.8933\n",
       "\n",
       "_C19: ShipmentAmount_Penang_Port_Port_of_Haifa\n",
       " + ShipmentAmount_Penang_Port_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Penang_Port_Port_of_King_Abdul_Aziz = 12318631.8073\n",
       "\n",
       "_C20: ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Manzanillo_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Manzanillo_Port_of_King_Abdul_Aziz = 6272914.5326\n",
       "\n",
       "_C21: ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Rotterdam_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Rotterdam_Port_of_King_Abdul_Aziz = 2745849.666\n",
       "\n",
       "_C22: ShipmentAmount_Port_of_Lagos_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Lagos_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Lagos_Port_of_King_Abdul_Aziz = 243946.674\n",
       "\n",
       "_C23: ShipmentAmount_Port_of_Salalah_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Salalah_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Salalah_Port_of_King_Abdul_Aziz = 665974.42\n",
       "\n",
       "_C24: ShipmentAmount_Port_of_Gdansk_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Gdansk_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Gdansk_Port_of_King_Abdul_Aziz = 4350000.5481\n",
       "\n",
       "_C25: ShipmentAmount_Port_of_Doha_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Doha_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Doha_Port_of_King_Abdul_Aziz = 1775931.7866\n",
       "\n",
       "_C26: ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_King_Abdul_Aziz\n",
       " = 9520988.2609\n",
       "\n",
       "_C27: ShipmentAmount_Port_of_Jeddah_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Jeddah_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Jeddah_Port_of_King_Abdul_Aziz = 5352440.4517\n",
       "\n",
       "_C28: ShipmentAmount_Port_of_Singapore_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Singapore_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Singapore_Port_of_King_Abdul_Aziz = 20157761.1392\n",
       "\n",
       "_C29: ShipmentAmount_Port_of_Durban_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Durban_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Durban_Port_of_King_Abdul_Aziz = 1219733.3699\n",
       "\n",
       "_C30: ShipmentAmount_Port_of_Algeciras_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Algeciras_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Algeciras_Port_of_King_Abdul_Aziz = 5144723.8347\n",
       "\n",
       "_C31: ShipmentAmount_Port_of_Bangkok_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Bangkok_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Bangkok_Port_of_King_Abdul_Aziz = 19037885.5204\n",
       "\n",
       "_C32: ShipmentAmount_Port_of_Jebel_Ali_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Jebel_Ali_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Jebel_Ali_Port_of_King_Abdul_Aziz = 3995846.5198\n",
       "\n",
       "_C33: ShipmentAmount_Port_of_Immingham_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Immingham_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Immingham_Port_of_King_Abdul_Aziz = 5051019.5284\n",
       "\n",
       "_C34: ShipmentAmount_Port_of_New_York_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_New_York_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_New_York_Port_of_King_Abdul_Aziz = 27723150.5426\n",
       "\n",
       "_C35: ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Los_Angeles_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Los_Angeles_Port_of_King_Abdul_Aziz = 19323708.4517\n",
       "\n",
       "_C36: ShipmentAmount_Port_of_Saigon_Port_of_Haifa\n",
       " + ShipmentAmount_Port_of_Saigon_Port_of_Jebel_Ali\n",
       " + ShipmentAmount_Port_of_Saigon_Port_of_King_Abdul_Aziz = 5599378.0942\n",
       "\n",
       "VARIABLES\n",
       "ShipmentAmount_Buenaventura_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Buenaventura_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Buenaventura_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Penang_Port_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Penang_Port_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Penang_Port_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Alexandria_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Alexandria_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Alexandria_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Algeciras_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Algeciras_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Algeciras_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Antwerp_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Antwerp_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Antwerp_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Bangkok_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Bangkok_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Bangkok_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Buenos_Aires_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Buenos_Aires_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Buenos_Aires_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Busan_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Busan_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Busan_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Doha_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Doha_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Doha_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Durban_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Durban_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Durban_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Gdansk_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Gdansk_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Gdansk_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Gioia_Tauro_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Hamburg_Germany_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Immingham_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Immingham_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Immingham_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Jebel_Ali_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Jebel_Ali_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Jebel_Ali_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Jeddah_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Jeddah_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Jeddah_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Lagos_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Lagos_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Lagos_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Los_Angeles_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Los_Angeles_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Manzanillo_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Manzanillo_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Marseille_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Marseille_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Marseille_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Montreal_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Montreal_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Montreal_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Nagoya_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Nagoya_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Nagoya_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_New_York_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_New_York_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_New_York_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Rotterdam_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Rotterdam_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Saigon_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Saigon_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Saigon_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Salalah_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Salalah_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Salalah_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Santos_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Santos_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Santos_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Shanghai_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Shanghai_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Shanghai_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Shuwaikh_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Shuwaikh_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Shuwaikh_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Singapore_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Singapore_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Singapore_Port_of_King_Abdul_Aziz Continuous\n",
       "ShipmentAmount_Port_of_Vancouver_Port_of_Haifa Continuous\n",
       "ShipmentAmount_Port_of_Vancouver_Port_of_Jebel_Ali Continuous\n",
       "ShipmentAmount_Port_of_Vancouver_Port_of_King_Abdul_Aziz Continuous"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Constraints\n",
    "for i in supply_points:\n",
    "    prob += sum(X[i][j] for j in demand_points) == plastic_supply[i]\n",
    "prob"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Status: Optimal\n",
      "ShipmentAmount_Buenaventura_Port_of_Haifa = 2509165.9\n",
      "ShipmentAmount_Penang_Port_Port_of_Jebel_Ali = 12318632.0\n",
      "ShipmentAmount_Port_of_Alexandria_Port_of_Haifa = 731840.02\n",
      "ShipmentAmount_Port_of_Algeciras_Port_of_Haifa = 5144723.8\n",
      "ShipmentAmount_Port_of_Antwerp_Port_of_Haifa = 3021067.5\n",
      "ShipmentAmount_Port_of_Bangkok_Port_of_Jebel_Ali = 19037886.0\n",
      "ShipmentAmount_Port_of_Buenos_Aires_Port_of_Haifa = 3484953.6\n",
      "ShipmentAmount_Port_of_Busan_Port_of_Jebel_Ali = 44795025.0\n",
      "ShipmentAmount_Port_of_Doha_Port_of_King_Abdul_Aziz = 1775931.8\n",
      "ShipmentAmount_Port_of_Durban_Port_of_Haifa = 1219733.4\n",
      "ShipmentAmount_Port_of_Gdansk_Port_of_Haifa = 4350000.5\n",
      "ShipmentAmount_Port_of_Gioia_Tauro_Port_of_Haifa = 9565903.5\n",
      "ShipmentAmount_Port_of_Hamburg_Germany_Port_of_Haifa = 16669297.0\n",
      "ShipmentAmount_Port_of_Immingham_Port_of_Haifa = 5051019.5\n",
      "ShipmentAmount_Port_of_Jawaharlal_Nehru_Port_of_Jebel_Ali = 10078881.0\n",
      "ShipmentAmount_Port_of_Jebel_Ali_Port_of_Jebel_Ali = 3995846.5\n",
      "ShipmentAmount_Port_of_Jeddah_Port_of_Haifa = 5352440.5\n",
      "ShipmentAmount_Port_of_King_Abdul_Aziz_Port_of_King_Abdul_Aziz = 9520988.3\n",
      "ShipmentAmount_Port_of_Lagos_Port_of_Haifa = 243946.67\n",
      "ShipmentAmount_Port_of_Los_Angeles_Port_of_Haifa = 19323708.0\n",
      "ShipmentAmount_Port_of_Manzanillo_Port_of_Haifa = 6272914.5\n",
      "ShipmentAmount_Port_of_Marseille_Port_of_Haifa = 6474236.0\n",
      "ShipmentAmount_Port_of_Montreal_Port_of_Haifa = 1637839.3\n",
      "ShipmentAmount_Port_of_Nagoya_Port_of_Haifa = 2444317.8\n",
      "ShipmentAmount_Port_of_Nagoya_Port_of_Jebel_Ali = 10719342.0\n",
      "ShipmentAmount_Port_of_New_York_Port_of_Haifa = 27723151.0\n",
      "ShipmentAmount_Port_of_Rotterdam_Port_of_Haifa = 2745849.7\n",
      "ShipmentAmount_Port_of_Saigon_Port_of_Haifa = 5599378.1\n",
      "ShipmentAmount_Port_of_Salalah_Port_of_Haifa = 665974.42\n",
      "ShipmentAmount_Port_of_Santos_Port_of_Haifa = 7945692.0\n",
      "ShipmentAmount_Port_of_Shanghai_Port_of_Jebel_Ali = 72389356.0\n",
      "ShipmentAmount_Port_of_Shanghai_Port_of_King_Abdul_Aziz = 162608560.0\n",
      "ShipmentAmount_Port_of_Shuwaikh_Port_of_King_Abdul_Aziz = 887965.89\n",
      "ShipmentAmount_Port_of_Singapore_Port_of_Haifa = 20157761.0\n",
      "ShipmentAmount_Port_of_Vancouver_Port_of_King_Abdul_Aziz = 7771532.5\n",
      "Total kilogram_miles = 3152144074297.75\n"
     ]
    }
   ],
   "source": [
    "prob.solve()\n",
    "\n",
    "print(\"Status:\", LpStatus[prob.status])\n",
    "\n",
    "for v in prob.variables():\n",
    "    if v.varValue > 0:\n",
    "        print(v.name, \"=\", v.varValue)\n",
    "\n",
    "print(\"Total kilogram_miles =\", value(prob.objective))\n"
   ]
  }
 ],
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